Quantisation on general spaces

dc.creatorPatwardhan, Ajay
dc.date2002-11-08
dc.date.accessioned2026-07-07T06:05:25Z
dc.date.available2026-07-07T06:05:25Z
dc.descriptionQuantisation on spaces with properties of curvature, multiple connectedness and non orientablility is obtained. The geodesic length spectrum for the Laplacian operator is extended to solve the Schroedinger operator. Homotopy fundamental group representations are used to obtain a direct sum of Hilbert spaces, with a Holonomy method for the non simply connected manifolds.The covering spaces of isometric and hence isospectral manifolds are used to obtain the representation of states on orientable and non orientable spaces. Problems of deformations of the operators and the domains are discussed.Possible applications of the geometric and topological effects in physics are mentioned.
dc.description7 pages. No figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0211039
dc.identifierhttp://arxiv.org/abs/quant-ph/0211039
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/90631
dc.subjectQuantum Physics
dc.subjectMathematical Physics
dc.titleQuantisation on general spaces
dc.typetext

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